Oxygen flows through one tube into a liter flask filled with air, and the mixture of oxygen and air (considered well stirred) escapes through another tube. Assuming that air contains 4% oxygen, what percentage of oxygen will the flask contain after 5 L have passed through the intake tube?

Answers

Answer 1

The amount of oxygen in the flask through the intake tube illustrates proportions

The flask 99.35% will contain of oxygen after 5L have passed through the intake tube

How to calculate the percentage of oxygen?

To do this, we make use of the following representations

P for the proportion of oxygenV for te volume of oxygenx for the proportion of oxygen in the flask after 5 L passed through

So. we have the following derivative

dP = dV - P * dV

Divide through by dV

dP/dV  = 1 - P

Next, we set up the integral

[tex]\int\limits^x_{0.040} \frac {1}{1 - P}dP= \int\limits^5_0 {dV}[/tex]

Integrate both sides

[tex]-\ln(|P - 1|)|\limits^x_{0.04} = 5[/tex]

Expand

-ln(|x - 1|) + ln(|0.04 - 1|) = 5

Evaluate the difference

-ln(|x - 1|) + ln(|-0.96|) = 5

Express as a fraction

ln(0.96/|x - 1|) = 5

Express both sides as exponents with a base of 2

e^ln(0.96/|x - 1|) = e^5

Solve for x

x = 1 - 0.96/e^5

Evaluate the difference

x = 0.9935

Express as percentage

x = 99.35%

Hence, the flask 99.35% will contain of oxygen after 5L have passed through the intake tube

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Related Questions

Sara and her friends are enjoying a bag of candy-coated chocolates. Just for fun, they remove 80 pieces of candy from the bag to check their color. The outcomes are shown in the table.
Candy Color Number of Candies
brown or orange 25
green or yellow 28
red or blue 27

Which statement is true based on the results in the table?

A.
All of the outcomes are equally likely because their relative frequencies are similar.
B.
All of the outcomes are equally likely because the relative frequency of picking brown or orange candies is greater than that of picking green or yellow.
C.
All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.
D.
All of the outcomes are not equally likely because the relative frequency of picking green or yellow candies is the highest.
E.
All of the outcomes are not equally likely because the relative frequency of picking red or blue candies is less than that of picking green or yellow.

Answers

Answer:

A

Step-by-step explanation:

There doesn't appear to be any particular color that has several more than the other choices.

Answer:

Option E

Step-by-step explanation:

If she picked them randomly than the 80 she picked are a pretty good representation of the candies in the bag, we know that there are different amounts of each candy based on Sara's numbers. According to her results, there are more green or yellow candies than brown or orange so the odds are there are more green or yellow candies in the bag. Since there are different numbers of each candy, the odds of her picking a certain color is different than the others, so the outcomes are not equally likely. The answeres can now be C,D, or E. I think it's option E because to me it seems like the most accurate of the three.

Help picture below problem 16

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2[/tex]

Thus the missing side length is 13.2 cm

Hope that helps!

Help help help help

Answers

Answer:

h=3/2. V=3(root)3

Step-by-step explanation:

What is 12.985 rounded to 2 decimal place?

Answers

12.985 rounded to 2 decimal places is 12.99

Answer:

Step-by-step explanation:

Step 1:

Identify the digit in the hundredths place, as it is the 2nd decimal place.  The 8 is the digit in the hundredths place.

Step 2:  

Look at the digit in the thousandths place and its value is 5 thousandths, so increase the digit in the hundredth's place to 9.

Step 3:

The new number is 12.99 rounded to the 2nd decimal place.

It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?

Answers

Answer:

The answer would be 7.7

Step-by-step explanation:

Because 54/7= 7.7

you get 7.7 by dividing which is the unit rate

may anyone please help me with this too , thank you so much​

Answers

7) 7bc cubed

8) 6x to the power 8

What is the dividend yield on Stock A that sells at
$15/share, when Company A pays a quarterly
dividend of $0.20 per share?
dividend yield = [?] %

Give your answer as a percent rounded to the
nearest tenth

Hint: Dividend Yield
annual dividend
share price

Answers

Answer:

  5.3%

Step-by-step explanation:

The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:

  yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%

The dividend yield is 5.3%.

Write these numbers in order of size. Start with the smallest number. 3007 4435 399 4011 3333​

Answers

Hey there!

Let's write all these numbers in order.

First, all numbers here are 4-digit numbers, except 1 (it's a 3-digit number)

So the smallest number is the 3-digit number.

399

Now, what's next?

let's check the thousands place (the first digit in the 4-digit numbers)

We see 3, 3, 4 and 4.

3 is smaller than 4.

Now we have 2 numbers: 3007 and 3333.

Well, which one's smaller? that's right, 3007.

So we have

399, 3007.

The third number is 3333 (the thousands place is 3)

so we have

399, 3007, 3333

Now, we have 2 numbers left, and they have a 4 in their thousands place.

The numbers are: 4011 and 4435.

Well, which one's smaller? that's right, 4011, and the greatest number is 4435.

Hence, we have

[tex]\boxed{\boxed{\bold{399,~3007,~3333,~4011,~4435}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Triangle ABC is isosceles.

Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.

What is the measure of angle C?

25°
30°
60°
75°

Answers

Answer: 75⁰°

Answer: 75⁰°Step-by-step explanation:

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25plug 25 in for x to find the angle measure

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25plug 25 in for x to find the angle measure3(25) = 75

50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.

nvm it was 4

Answers

Area = length x height:

Area = 7 x 11 = 77 square feet.


divide area of wall by area per can:

77/20 = 3.85 cans


they will need to buy 4 cans

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

a. y = 7.5x + 1

b. y intercept is 1, which means the puppy weighed 1 pound at birth or at 0 months old.

c. slope is 7.5 which means puppy gained 7.5 pounds a month for the first 6 months.

Step-by-step explanation:

To find slope: use rise/run formula (y2 - y1 / x2 - x1) which is,
(23.5 - 16) / (3 - 2) = 7.5

To find y intercept: Plug in y, x and b in the slope intercept formula (y=mx+b). choose any one of the pairs from the table. i chose 2 and 16. plug it in and the formula would now look like 16 = 7.5(2) + b .

solve for b
16 = 15 + b      (multiply 7.5 and 2)
1 = b               (subtract 15 from 16)
y intercept is 1

help pls i really need help

Answers

Answer:

See below

Step-by-step explanation:

We see the segment of length of 3 is divided by 3 and each of units divided by 4.

The number of purple rectangles is 12.

This can be expressed as:

Number of fourths in 3, this is same as 123 ÷ 1/4 = 12, same as above

The other options are not matching this model. They all end up with part of the line segment.

Three of them result in 3/4 and one results in 4.

Find the Sum.
29, 8 67
+ 14, 938

Answers

Answer:

44805

Step-by-step explanation:

i just added them together lol

Answer:

the answer is 44805

Step-by-step explanation:

just add them together

Help me pwes I need it.

Answers

Answer:

1/10

when you do the LCM you get 70

divide each fraction by 70 and you will get the least to be a tenth

What is the next time: 8:30 A.M., 10:00 A.M., 11:30 A.M., _______? A) 1:00 P.M. B) 1:00 A.M. C) 1:30 P.M. D) 1:30 A.M.

Answers

Answer:

A 1 PM

Step-by-step explanation:

Becasue it grows by an hour and a half each time

Answer: Easy. A. 1 pm.

.

hey guy can you please explain this to me ​

Answers

Answer:

D) 2

Step-by-step explanation:

it think it's D because the size of the triangle was doubled

2 was matched to 4 and

1 was matched to 2

The average age for the 62 observed milk cows as they first produced

Answers

Answer:

32

Step-by-step explanation:

as i thing that brother thank you

length of a rectangle is three times its width. if the length of the rectangle is 64 in, find the width and length

Answers

Answer:

Length: 64

Width = 21 1/3

Step-by-step explanation:

Width = Length 64 * 1/3 Width

Width = 21.3333333 or 21 1/3

Answer:

[tex]l=64 in[/tex]

[tex]w=21.3333in[/tex]

Step-by-step explanation:

[tex]l=3w[/tex]

[tex]\frac{64}{3} =21.3333[/tex]

I will mark the first person to answer my question brainliest

Answers

Answer:

1. The length is longer.

2. The length is longer.

Step-by-step explanation:

1. 7/10 = 0.70 > 0.67. Here, the length is greater than the width.

2. 9/10 of a yard is .9 * 36, or 32.4 inches. Here, the length is greater than the width.

For a period of time, an island’s population grows at a rate proportional to its population. If the growth rate is 4.5% per year and the current population is 1500, what will the population be 6 years from now

Answers

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

How to solve an exponential function

Let y represent the population after x years.

Given that the growth rate is 4.5% per year and the current population is 1500.

Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045

y = 1500(1.045)ˣ

After 6 years:

y = 1500(1.045)⁶ = 1953

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

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F(4g2-9)=n i need to solve for f

Answers

Answer:

Step-by-step explanation:

The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3
inches from the vertex of the pyramid. If the height of the pyramid is Sinches, what is the area of the rectangular base?

Answers

The rectangular base area is the space the rectangular base occupies

The area of the rectangular base is 60 square inches

How to determine the area of the rectangular base?

The diagram is not given. So, I will apply provide a general solution.

Using the similar shapes concept, the area of the rectangular base can be represented as:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

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Each 14 inch on a map represents an actual length of 18 of a mile.

What length on the map represents 1 mile?


132 inch

38 inches

2 inches

4 inches

Answers

Answer:

38 inch

Step-by-step explanation:

Can someone please help me with this

Answers

Answer:

Vertex: (-1 , 50)

Axis of Symmetry: x = -1

y - intercepts: (0 , 48)

5
5
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
3
2
+
(3, 1)
-5 -4 -3
2
=
3
4
5
х
-11 2
| (0, 1)
-2.
O y=x+3
O y=x+2
O y=-*x+3
O y=-x+2
-3
-5

Answers

Answer:

b                                                  

Step-by-step explanation:

                                                                                                                                                       

The solution is, the slope-intercept form equation is, y = -4x -6

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The given segment has a rise if 1 for a run of 4, so a slope of ...

 m = rise/run = 1/4

The desired perpendicular has a slope that is the negative reciprocal of this:

 m = -1/(1/4) = -4

A point that has a rise of -4 for a run of 1 from the given midpoint is ...

 (-1, -2) +(1, -4) = (0, -6) . .  . . . . . the y-intercept of the bisector

So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...

 y = mx +b

 y = -4x -6

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#SPJ7

which one is greater 7 pounds or 70 ounces

Answers

Answer:

7 pounds is greater

Step-by-step explanation:

1 lb = 16 oz

7 lb = 112 oz

70 oz is 70 oz

Answer:

7 pounds is greater

Step-by-step explanation:

1 lb = 16 oz

7 lb = 112 oz

70 oz is 70 oz

You should be able to figure out the answer

Which method do you prefer when comparing numbers written in scientific notation? Explain why you prefer this method using examples. PLS HURRY

Answers

Answer:

If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.

Step-by-step explanation:

The general form in scientific notation is

z.z ×10^z

where z is integer

So while comaparing

We usually compare z.z rounded to similar significant numbers .

In rest case

we use power of 10 ,the number which has higher that's bigger.

Example

1.27×10⁴1.24×10⁴

First one is bigger

What is the volume of a sphere with a diameter of 50 cm

Answers

since we know the diameter is 50, then its radius is half that or 25.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]

PLEASE HELP!!! I"LL MARK AS BRAINLIEST!!!A local water park has two types of season passes. Plan A costs a one-time fee of $139 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $43 for parking plus $24 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

Answer:

6 visits

Step-by-step explanation:

Plan A: 139+8x

Plan B: 43+24x

Set the equations equal to each other.

[tex]139 + 8x = 43 + 24x[/tex]

Subtract 43 from both sides.

[tex]96 + 8x = 24x[/tex]

Subtract 8x from both sides.

[tex]96 = 16x[/tex]

Divide both sides by 16.

[tex]x = 6[/tex]

The answer would be 6 visits! I hope this helps!

Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5

Answers

Answer:

B

Step-by-step explanation:

Let's add some numbers together and divide by the numbers of numbers. The answer should be among these.

4 + 5 + -4 + -3 = 2

4/2 = 2.

-17 + -4 + 4 + 5 = -12

-12/4 = -3.

The answer is B.

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